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Finding the Fourth Proportional to 6,212.89, 8,569.56 and 3,850.93

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Solution

The fourth proportional to 6,212.89, 8,569.56 and 3,850.93 is: 5,311.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,212.89 : 8,569.56 = 3,850.93 : x
  2. Step 2: Convert to fraction form
    6,212.89/8,569.56 = 3,850.93/x
  3. Step 3: Cross multiply
    6,212.89x = 8,569.56 × 3,850.93
  4. Step 4: Simplify right side
    6,212.89x = 33,000,775.69
  5. Step 5: Solve for x
    x = 33,000,775.69/6,212.89
  6. Step 6: Final answer
    x = 5,311.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.